By substitution is how to solve
2x-3y=21
y=3-x
2x-3(3-x)=21
2x-9+3x=21
5x=30
x= 6
now substitute our x value into y=3-x
so we get
y=3-6 = -3
so x=6 and y=-3 hope this helps!!!!! Thank you!
Answer:
Step-by-step explanation:
The equation for that is

If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.

Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
and now we will factor by grouping:
and factor out what's common:

The factor (x + 10) is common, so we will now factor that out:

By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
simplifies to
100 - 30 which does in fact equal 70. OR
which simplifies to
49 + 21 which also equals 70.
So you're done!
Answer: 256
Step-by-step explanation:
8x8=64
64x4=256
Answer:
0.2322 or 23.22 %
Step-by-step explanation:
We have to solve and find the area out of these limits
μ + 0,3 = 210 + 0,3 ⇒ 210,3 and
μ - 0,3 = 210 - 0,3 ⇒ 209.7
z(l) = ( x - 210 ) / (2.8/√84) ⇒ z(l) = - (0.3 * 9,17)/ 2.8
z (l) = - 1.195
We need to interpole from z table
1.19 ⇒ 0.1170
1.20 ⇒ 0.1151
Δ ⇒ 0.01 ⇒ 0.0019
And between our point 1,195 and 1,19 the difference is 0.005
then 0.01 ⇒ 0.0019
0.005 ⇒ ?? (x)
we find x = 0.00095
to get the area for poin z (l) - 1.195 up to final left tail is from z table
0,1170 - 0.00095 = 0.1161
And by symmetry to the right is the same
So 0.1161 * 2 = 0.2322
We find the area out of the above indicated limits the area we were looking for. This is the probability of finding shafts over and below the population mean and 0.3 inches
Step-by-step explanation:
Answer: -10m + 30
Step-by-step explanation:
<u>Given expression</u>
(m - 3) (-10)
<u>Expand parentheses and apply the distributive property</u>
=m · (-10) - 3 · (-10)
<u>Simplify by multiplication</u>
=
Hope this helps!! :)
Please let me know if you have any questions